Linear Equations

Substitution

100

x + 3y = 4

x = 2 - y

x = 1

y = 1

200

x = 4y - 4

y = 4

What is x?

x = 12

300

3x + y = 10

y = 2x

x = 2

y = 4

400

2x + 5y = 19

y = 3x -3

x = 2

y = 3

500

3x + 5y = 13

2x + y = 4

x = 1

y = 2

Elimination

100

x + y = 9

x - y = 5

x = 7

y = 2

200

2x + 3y = 20

-2x + y = 4

x = 1

y = 6

300

6x - 9y = 18

-6x + 2y = -4

x = 0

y = -2

400

4x - 12y = 28

-3x + 12y = 12

x = 40

y = 11

500

-3x + 2y = -17

-6x + 3y = -30

x = 3

y = -4

Integers

100

- 2 + 2

0

200

-4 - 8

-12

300

-8 - (-6)

-2

400

15 - 21

-6

500

-20 - (-13)

-7

Graphing

100

y = -3x + 2

y = 2x - 3

(1,-1)

200

y = -x + 7

y = 2x + 1

(2, 5)

300

y = 2x - 4

y = 6

(5, 6)

400

x + 3y = 8

2x - 9 = y

(5, 1)

500

2x - y = 2

2x + y = 6

(2, 2)